International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 2, Pages 243-252
doi:10.1155/S0161171296000348

Fixed point theorems in metric spaces and probabilistic metric spaces

Yeol Je Cho1 , Keun Saeng Park1 and Shihsen Chang3

1Department of Mathematics, Gyeongsang National University, Jinju 660-701, Korea
3Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, China

Abstract

In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to probabilistic metric spaces.